Yeah it will have to stay Jaime.... you will need to swear an affidavit the name was spelt wrong, and that the two names refer to the same person... and that they are one and the same.
When I was born my fadder name was Steve... and the stupid lady seeing Chris big and bold on the birth certificate register meh name as Steve Christ*** L******. Ah was about to write CE and they saying ah cayr write it because the names doh match. My fadder had to swear the affidavit that the name was spelt wrong.
So recently when I became a citizen of US... the TnT gov't tell me that needed to renew my citizenship... so I had to get the electronic birth certificate and even though I insisted that the name should be Chris Steven and that it was their mistake... they did not budge... Dad had to swear another affidavit to go with the new electronic birth certificate....!
Hope that helps... (yuh paying for their incompetencies) not fair but is they way some civil servants does do it.